Example

Section	You should be able to …	Example	Review Exercises
11.1	1 Find the domain of a vector function (p.758)	1	1–4(a)
	2 Graph a vector function (p.758)	2–4	1–4(b)
	3 Find the limit and determine the continuity of a vector function (p.761)		5–7
	4 Find the derivative of a vector function (p.762)	5, 6	1–4(c), 8, 9
	5 Find the derivative of a vector function using derivative formulas (p.763)	7	10, 11
11.2	1 Interpret the derivative of a vector function geometrically (p.767)	1	12–14(a), 15
	2 Find the unit tangent vector and the principal unit normal vector of a smooth curve (p.768)	2–4	12–14(b), (c)
	3 Find the arc length of a curve traced out by a vector function (p.770)	5, 6	16–18
11.3	1 Determine whether the parameter used in a vector function is arc length (p.775)	1, 2	19, 20
	2 Find the curvature of a curve (p.776)	3, 4	21, 30
	3 Find the curvature of a space curve (p.778)	5	22, 23
	4 Find the curvature of a plane curve given by \(y=f(x)\) (p.779)	6	24, 25, 29
	5 Find an osculating circle (p.780)	7	26–28
11.4	1 Find the velocity, acceleration, and speed of a moving particle (p.785)	1–5	31–34(a), 35, 36
	2 Express an acceleration vector using tangential and normal components (p.788)	6–8	31–34(b)
11.5	1 Integrate vector functions (p.796)	1	37–42
	2 Solve projectile motion problems (p.797)	2	43
11.6	1 Discuss Kepler's Laws of Planetary Motion (p.801)		44